Sensitivity reduced design of discrete linear regulator with prescribed degree of stability

Gopal, M.; Ghodekar, J. G.

doi:10.1049/ip-d.1983.0045

Cited by 5 publications

(3 citation statements)

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“…4. Similar effects can also be observed in the case of infinite-horizon optimal control with a time-multiplied performance index (Kwon et al 1985) as well as with exponential weighting (Anderson and Moore 1971, Gopal and Ghodekar 1983). …”

Section: Examplementioning

confidence: 54%

“…Theorem 2 parallels infinite-horizon optimal control with a prescribed degree of stability (Anderson andMoore 1971, Gopal andGhodekar 1983).…”

Section: Remarkmentioning

confidence: 97%

“…It is known that a prescribed degree of stability can be obtained by using such weighting in infinite-horizon optimal control (Anderson andMoore 1971, Gopal andGhodekar 1983) and receding-horizon control with equality constraints (K won and Pearson 1978). In general, increasing weighting is said to improve dynamic responses: the time-multiplied performance index (Kwon et al 1985) is an example of this.…”

Section: Control With Exponential Weightingmentioning

confidence: 99%

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Receding-horizon predictive control with exponential weighting

Yoon

Clarke

1993

International Journal of Systems Science

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Exponential weighting of future tracking errors and control increments is employed for receding-horizon predictive control and seen to improvethe dynamic behaviour of the closed-loop system. A sufficient condition for the asymptotic stability of generalized predictive control (OPe) with these weightings is derived. The condition can be easily satisfied whereas the corresponding condition for OPC with constant weighting is highly restrictive. In the case of constrained receding-horizon predictive control (CRHPC), a prescribed degree of stability is obtained just as with infinitehorizon optimal control using the same type of weighting. This makes it possible to use a simplified CRHPC law with no weighting on the tracking error but which guarantees convergence to the set-point faster than a bounding exponential.

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Section: Examplementioning

confidence: 54%

“…Theorem 2 parallels infinite-horizon optimal control with a prescribed degree of stability (Anderson andMoore 1971, Gopal andGhodekar 1983).…”

Section: Remarkmentioning

confidence: 97%

Section: Control With Exponential Weightingmentioning

confidence: 99%

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Receding-horizon predictive control with exponential weighting

Yoon

Clarke

1993

International Journal of Systems Science

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Principles for modal waves in guided wave optics

Hashimoto

1988

Electron Comm Jpn Pt II

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The geometrical optics theory of modal waves propagating along optical waveguides is described. The theory is general and thus applicable to the general classes of inhomogeneous waveguides including aniso‐tropic media. This paper points out that the light ray, which is the fundamental concept in geometrical optics, is to be definable as the energy ray and the wave‐normal ray. The variational principles valid for these two definitions are explained. The energy ray is the well‐known ray that shows the path of energy transport. The wave‐normal ray is defined to be the locus of the wave‐normal vectors perpendicular to the wavefronts. The variational principles that describe these two rays are different, and therefore the ray equations for both rays are different in anisotropic media. The former is known as Hamiltonian optics, but the latter is not yet established as geometrical optics. It is pointed out that the latter should be used to describe the geometrical behaviors of guided modes and the propagation of modal waves without any logical contradiction. Optics describing guided modes in terms of the wave‐normal rays is called guided wave optics, and some differences from Hamiltonian optics are discussed using several examples.

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On decentralized controllers for interconnected power systems

Gopal

Ghodekar

1985

International Journal of Systems Science

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Sensitivity reduced design of discrete linear regulator with prescribed degree of stability

Cited by 5 publications

References 0 publications

Receding-horizon predictive control with exponential weighting

Receding-horizon predictive control with exponential weighting

Principles for modal waves in guided wave optics

On decentralized controllers for interconnected power systems

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